Skip to main content

Geometry Lectures by Nigel Simmons

Lectures from 2014-2015 from teacher Nigel Simmons.

975
RESULTS
rss


PART OF
Podcasts
Media Type
975
audio
Year
975
(No Date)
Topics & Subjects
87
integration
83
calculus
65
curve sketching
56
complex numbers
49
trigonometry
47
polynomials
More right-solid
Collection
Creator
971
nigel simmons
1
nigel simmoons
Language
1
English
SHOW DETAILS
up-solid down-solid
eye
Title
Date Published
Creator
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 25
favorite 0
comment 0
Generalisations of cubic xpreessions
Topic: cubics
Geometry Lectures by Nigel Simmons
audio
eye 28
favorite 0
comment 0
Solving equations (and inequations)
Topics: equations, inequations
Geometry Lectures by Nigel Simmons
audio
eye 28
favorite 0
comment 0
How to solve any quadratic equation
Topic: quadratic
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 21
favorite 0
comment 0
Selecting the objects when order is NOT important
Topic: combination
Geometry Lectures by Nigel Simmons
audio
eye 29
favorite 0
comment 0
Finding the equation of a line through a point and the point of intersection of two lines
Topic: cartesian geometry
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 37
favorite 0
comment 0
looking at number patterns
Topic: series
Geometry Lectures by Nigel Simmons
audio
eye 37
favorite 0
comment 0
The integration of the exponential function
Topics: exponential, integration
Geometry Lectures by Nigel Simmons
audio
eye 24
favorite 0
comment 0
Integration that results in an inverse trig function
Topics: integration, inverse trig
Geometry Lectures by Nigel Simmons
audio
eye 24
favorite 0
comment 0
Finding a more general way of finding the coefficients
Topic: binomial product
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 14
favorite 0
comment 0
Using symmetry to sketch graphs
Topic: curve sketching
Geometry Lectures by Nigel Simmons
audio
eye 25
favorite 0
comment 0
A different way of measuring angles
Topics: radians, trigonometry
Geometry Lectures by Nigel Simmons
audio
eye 34
favorite 0
comment 0
Proving Pascal Triangle relationships using the binomial theorem
Topic: binomial theorem
Geometry Lectures by Nigel Simmons
audio
eye 18
favorite 0
comment 0
Initial definitions & notations and the angle theorems
Topic: angle theorems
Geometry Lectures by Nigel Simmons
audio
eye 28
favorite 0
comment 0
Using the first derivative to investigate the shape of curves
Topics: calculus, first derivative
Geometry Lectures by Nigel Simmons
audio
eye 8
favorite 0
comment 0
The first of our angle theorems
Topics: circle geometry, angle theorems
Geometry Lectures by Nigel Simmons
audio
eye 31
favorite 0
comment 0
How do we go back to the original curve?
Topic: calculus
Geometry Lectures by Nigel Simmons
audio
eye 23
favorite 0
comment 0
The first of the tangent theorems
Topic: circle geometry
Geometry Lectures by Nigel Simmons
audio
eye 20
favorite 0
comment 0
Finding a general solution for geometric series
Topics: series, sums
Geometry Lectures by Nigel Simmons
audio
eye 44
favorite 0
comment 0
Using the theory to solve the problems
Topic: series
Geometry Lectures by Nigel Simmons
audio
eye 29
favorite 0
comment 0
Introducing induction as applied to series type questions
Topic: induction
Geometry Lectures by Nigel Simmons
audio
eye 27
favorite 0
comment 0
More on the Argand Diagram
Topic: complex numbers
Geometry Lectures by Nigel Simmons
audio
eye 19
favorite 0
comment 0
If two quadratics are equal for more han two values, then they must be the same quadratic.
Topic: quadratic
Geometry Lectures by Nigel Simmons
audio
eye 15
favorite 0
comment 0
Looking at the parametric representation of the parabola
Topics: parabola, parametric
Geometry Lectures by Nigel Simmons
audio
eye 11
favorite 0
comment 0
Alternative ways of finding features
Topic: quadratics
Geometry Lectures by Nigel Simmons
audio
eye 27
favorite 0
comment 0
Using the roots of one polynomial to create a new polynomial
Topic: polynomial
Geometry Lectures by Nigel Simmons
audio
eye 37
favorite 0
comment 0
Lines & rays in the Argand diagram
Topics: complex numbers, locus
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 19
favorite 0
comment 0
Factorising over rtge complex field
Topic: polynomials
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 8
favorite 0
comment 0
How to find repeated roots
Topics: polynomials, multiple roots
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 32
favorite 0
comment 0
Newton's Laws and how to use them in solving problems
Topics: motion, dynamics, acceleration
Geometry Lectures by Nigel Simmons
audio
eye 35
favorite 0
comment 0
Integrating fractions involving polynomials
Topic: integration
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 43
favorite 0
comment 0
Some past circle geo questions
Topic: circle geometry
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 19
favorite 0
comment 0
Circular motion around a banked curve is very similar to the conical pendulum
Topics: banked curve, motion
Geometry Lectures by Nigel Simmons
audio
eye 19
favorite 0
comment 0
All mathematical operations have an inverse that will "undo" the operation, including functions.
Topic: inverse functions
Geometry Lectures by Nigel Simmons
audio
eye 24
favorite 0
comment 0
Defining the absolute value function
Topics: functions, absolute value
Geometry Lectures by Nigel Simmons
audio
eye 25
favorite 0
comment 0
Working out how to move curves around
Topic: curve sketching
Geometry Lectures by Nigel Simmons
audio
eye 29
favorite 0
comment 0
The parametric form of the hyperbola
Topics: parametric, hyperbola
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 21
favorite 0
comment 0
Looking at what happens when the eccentricity is greater than 1.
Topics: conics, hyperbola
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 16
favorite 0
comment 0
Curves can be described algebraically but also geometrically
Topic: locus
Geometry Lectures by Nigel Simmons
audio
eye 37
favorite 0
comment 0
Using parameters to describe curves
Topic: parametric
Geometry Lectures by Nigel Simmons
audio
eye 12
favorite 0
comment 0
Finding a generalisation for the chord of a parabola
Topics: parabola, parametric
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 29
favorite 0
comment 0
The product rule for integration
Topics: integration, by parts
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 246
favorite 0
comment 0
Using the derivative to measure the rate of change of physical quantities
Topics: calculus, rates of change
Geometry Lectures by Nigel Simmons
audio
eye 32
favorite 0
comment 0
Shortest distance betrween a point and a line
Topic: distance
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 233
favorite 0
comment 0
Putting all of the tools together to get a curve sketching menu.
Topics: calculus, curve sketching
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 142
favorite 0
comment 0
A couple of different type of induction problems
Topic: induction
Geometry Lectures by Nigel Simmons
audio
eye 160
favorite 0
comment 0
Classifying quadratics
Topic: quadratics
Geometry Lectures by Nigel Simmons
audio
eye 141
favorite 0
comment 0
Definitions and initial theorems
Topics: geometry, angles
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 114
favorite 0
comment 0
The classification of parabolas using the discriminant
Topics: quadratic, discriminant
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 253
favorite 0
comment 0
differentiation via the method of first principles
Topics: calculus, first principles
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 61
favorite 0
comment 0
Looking at both the algebraic and the geometrical way of describing curves.
Topic: locus
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 183
favorite 0
comment 0
Deriving the t results for their use in trig questions
Topics: trigonometry, t results
Geometry Lectures by Nigel Simmons
audio
eye 129
favorite 0
comment 0
Reducing equations to quadratics in order to solve.
Topic: quadratic
Geometry Lectures by Nigel Simmons
audio
eye 239
favorite 0
comment 0
Some properties of the parabola.
Topic: parabola
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 319
favorite 0
comment 0
Looking at the specific case of the locus as a parabola
Topics: parabola, locus
Geometry Lectures by Nigel Simmons
audio
eye 292
favorite 0
comment 0
Eliminating the parameters in order to find the locus of points.
Topic: locus.parameters
Geometry Lectures by Nigel Simmons
audio
eye 243
favorite 0
comment 0
Putting together all of the tools into a curve sketching menu.
Topics: calculus, curve sketching
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 216
favorite 0
comment 0
Identifying key features of a curve
Topics: calculus, critical points, curve sketching
Geometry Lectures by Nigel Simmons
audio
eye 138
favorite 0
comment 0
The reverse chain rule, an alternative way of approaching integrals that could otherwise been done by substitution.
Topic: integration
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 263
favorite 0
comment 0
Solving trig equations
Topic: trigonometry
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 257
favorite 0
comment 0
Deriving formulae for use with geometric aeries.
Topics: series, geometric
Geometry Lectures by Nigel Simmons
audio
eye 178
favorite 0
comment 0
Introducing the geometric series
Topic: series
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 154
favorite 0
comment 0
Investigating the area under curves more closely.
Topics: integration, areas
Geometry Lectures by Nigel Simmons
audio
eye 380
favorite 0
comment 0
Results concerning polynomials
Topic: polynomials
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 211
favorite 0
comment 0
The reaminder and factor theorems
Topics: polynomials, factor theorem, remainder theorem
Geometry Lectures by Nigel Simmons
audio
eye 91
favorite 0
comment 0
When solving problems involving algebraic fractions, ALWAYS FACTORISE FIRST
Topics: algebra, algebraic fractions
Geometry Lectures by Nigel Simmons
audio
eye 108
favorite 0
comment 0
Techniques for solving equations/imequations
Topics: equation, inequation
Geometry Lectures by Nigel Simmons
audio
eye 18
favorite 0
comment 0
The idea behind solving quadratics
Topics: algebra, quadratic
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 21
favorite 0
comment 0
General expressions for the factorising and expanding of cubics
Topics: algebra, cubic
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 148
favorite 0
comment 0
Real numbers and som eof their characteristics
Topic: real numbesr
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 165
favorite 0
comment 0
Defining real numbers, looking at divisibility tests and taking a closer look at fractions.
Topic: real numbers
Geometry Lectures by Nigel Simmons
audio
eye 20
favorite 0
comment 0
Moving our basic curve around the plane
Topic: curve sketching
Geometry Lectures by Nigel Simmons
audio
eye 189
favorite 0
comment 0
Tips for drawing polynomials
Topic: polynomials
Geometry Lectures by Nigel Simmons
audio
eye 23
favorite 0
comment 0
Some tips for sketching polynomials.
Topics: polynomials, curve sketching
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio
eye 181
favorite 0
comment 0
Further transformations of basic curves
Topic: curve sketching
Geometry Lectures by Nigel Simmons
audio
eye 112
favorite 0
comment 0
Graphing inequalities on the number plane.
Topic: inequalities